is 2 77378839 - 1
has 23293352 decimal digits
takes 218.165 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27449.443363.5135 %720000151200006.15094.2474 %55.594265.0632 %
Target27449.443363.5135 %5000009000000021.97904.1990 %71.422365.0456 %
Difference---+220000-74880000-15.8281+0.0483%-15.8281+0.0176 %

Known prime factors (1 factor, 84.6 bits, 0.00010931% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
77378839289036532230945529507618232684.579186767167849950249
32 × 457 × 503 × 12097 × 7462703
2015-04-2612097746270382,9511.70903.1046

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-04-26TheJudgerManual testing720000151200001222684.5796.1514.247%


Trial Factoring results:
575859606162636465666768697071727374
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-17ANONYMOUSv4_computers212531.55000e-5
2003-12-02ANONYMOUSv4_computers212610.002
2022-06-27LordJuliusManual testing261264
2010-10-01ANONYMOUS2642650.048
2010-10-01John Rjrockut83pc2652660.097
2010-10-25SyntonyHadfield2662670.193
2010-10-25sannerud.comJimEmcLap2672691.159
2010-10-29ddboy3asus2692701.545
2013-01-10SWL551Manual testing27027321.63
2015-04-22gcardonaManual testing27327424.72


ECM factoring results:
No ECM results for M77378839


Lucas-Lehmer results:
No L-L results for M77378839


PRP results:
No PRP results for M77378839


CERT results:
No CERT results for M77378839


P-1 factor-bounds graph:
B1 = 720000, B2 = 15120000 (P-1 stage 2)
B1 = 720000 (P-1 stage 1)
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108
TF factor-bounds graph:
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253
this exponent TF target: 74
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00